A NOTE ON GENERAL RANDIC INDEX

作者:Zhou, Bo*; Luo, Wei
来源:MATCH-Communications in Mathematical and in Computer Chemistry, 2009, 62(1): 155-162.

摘要

The general Randic index of a graph G is a graph invariant defined as R(alpha) = R(alpha)(G) = Sigma(uv is an element of E(G)) (d(u)d(v))(alpha), where d(u) denotes the degree of vertex a in G, E(G) denotes the edge set of G, and alpha is a real number. In this note, we report some bounds for R(alpha), especially when vertical bar alpha vertical bar >= 1.